x^2-6x+153=0

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Solution for x^2-6x+153=0 equation:


Simplifying
x2 + -6x + 153 = 0

Reorder the terms:
153 + -6x + x2 = 0

Solving
153 + -6x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-153' to each side of the equation.
153 + -6x + -153 + x2 = 0 + -153

Reorder the terms:
153 + -153 + -6x + x2 = 0 + -153

Combine like terms: 153 + -153 = 0
0 + -6x + x2 = 0 + -153
-6x + x2 = 0 + -153

Combine like terms: 0 + -153 = -153
-6x + x2 = -153

The x term is -6x.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6x + 9 + x2 = -153 + 9

Reorder the terms:
9 + -6x + x2 = -153 + 9

Combine like terms: -153 + 9 = -144
9 + -6x + x2 = -144

Factor a perfect square on the left side:
(x + -3)(x + -3) = -144

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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